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bagirrra123 [75]
2 years ago
8

Can you help me please

Mathematics
1 answer:
Nitella [24]2 years ago
8 0

Answer:

i cant read that

Step-by-step explanation:

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Does anyone know how to do this?? Help please!!!!
Doss [256]

Answer:

When we have a rational function like:

r(x) = \frac{x + 1}{x^2 + 3}

The domain will be the set of all real numbers, such that the denominator is different than zero.

So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.

Then we need to solve:

x^2 + 3 = 0

x^2 = -3

x = √(-3)

This is the square root of a negative number, then this is a complex number.

This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.

D: x ∈ R.

b) we want to find two different numbers x such that:

r(x) = 1/4

Then we need to solve:

\frac{1}{4} = \frac{x + 1}{x^2 + 3}

We can multiply both sides by (x^2 + 3)

\frac{1}{4}*(x^2 + 3) = \frac{x + 1}{x^2 + 3}*(x^2 + 3)

\frac{x^2 + 3}{4} = x + 1

Now we can multiply both sides by 4:

\frac{x^2 + 3}{4}*4 = (x + 1)*4

x^2 + 3 = 4*x + 4

Now we only need to solve the quadratic equation:

x^2 + 3 - 4*x - 4 = 0

x^2 - 4*x - 1 = 0

We can use the Bhaskara's formula to solve this, remember that for an equation like:

a*x^2 + b*x + c = 0

the solutions are:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

here we have:

a = 1

b = -4

c = -1

Then in this case the solutions are:

x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*1*(-1)} }{2*(1)} = \frac{4 +- 4.47}{2}

x = (4 + 4.47)/2 = 4.235

x = (4 - 4.47)/2 = -0.235

5 0
2 years ago
A total of 234 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t
lorasvet [3.4K]
234 = a + s                                                       s = students       a = adults
2a = s
after you get the equations you solve. plug 2a into the above equation.
so u get 
234 = a + 2a 
234=3a then divide 3 from each side
78 = a
so 78 adult tickets were sold

3 0
3 years ago
PLEASE HELPP Btw letter D. Says 80
n200080 [17]
C
the explanation is in the photo

8 0
2 years ago
I need to know what’s 67x4
Simora [160]

Answer:

268

Step-by-step explanation:

please give brainliest

3 0
3 years ago
Read 2 more answers
I don’t understand, please help! Solve m=p/2-n for n.
belka [17]

Answer:    n=p/2-m

Step-by-step explanation:

m=p/2-n   (1)

Add n to both sides of the equation  (1)

m+n=p/2-n+n => m+n=p/2     (2)

Subtract m from both sides of the equation (2)

m-m+n=p/2-m => n=p/2-m

6 0
3 years ago
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